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Finding the Fourth Proportional to 538.61, 807.88 and 173.66

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Solution

The fourth proportional to 538.61, 807.88 and 173.66 is: 260.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.61 : 807.88 = 173.66 : x
  2. Step 2: Convert to fraction form
    538.61/807.88 = 173.66/x
  3. Step 3: Cross multiply
    538.61x = 807.88 × 173.66
  4. Step 4: Simplify right side
    538.61x = 140,291.97
  5. Step 5: Solve for x
    x = 140,291.97/538.61
  6. Step 6: Final answer
    x = 260.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.